Finding the Fourth Proportional to 542.23, 813.31 and 176.99
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Solution
The fourth proportional to 542.23, 813.31 and 176.99 is: 265.47
Step by Step Solution
- Step 1: Write the proportion equation
542.23 : 813.31 = 176.99 : x - Step 2: Convert to fraction form
542.23/813.31 = 176.99/x - Step 3: Cross multiply
542.23x = 813.31 × 176.99 - Step 4: Simplify right side
542.23x = 143,943.23 - Step 5: Solve for x
x = 143,943.23/542.23 - Step 6: Final answer
x = 265.47
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.